Application of Point Interpolation Meshless Method for the Numerical Solution of Two-Dimensional Singularly Perturbed Integro-differential Equations

Abstract

Recently, there has been an increasing interest in the study of singular and perturbed systems. In this paper we propose a point interpolation meshless method for solving two-dimensional singularly perturbed integro-differential equations. The results of numerical experiments show that the numerical scheme is very effective and convenient for solving a large number of singularly perturbed problems with high accuracy.